双列圆锥滚子轴承拟静力学建模和刚度计算分析

张进华; 朱光浩; 黎铭; 洪军; 方斌

doi:10.7652/xjtuxb202309011

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双列圆锥滚子轴承拟静力学建模和刚度计算分析

—————————————————————— | 更新时间：2025-07-09

- 双列圆锥滚子轴承拟静力学建模和刚度计算分析
- Quasi-Static Modeling and Stiffness Calculation Analysis of Double Row Tapered Roller Bearings
- 西安交通大学学报 2023年57卷第9期页码：98-108
- 作者机构：
  
  西安交通大学现代设计与转子轴承系统教育部重点实验室,西安,710049
- 作者简介：
  
  : 2023-03-04。作者简介: 张进华(1979—),男,教授
  方斌(通信作者),男,助理教授。基金项目: 国家重点研发计划资助项目(2020YFB2009603)
- 基金信息：
  
  : 2023-03-04。作者简介: 张进华(1979—),男,教授;方斌(通信作者),男,助理教授。基金项目: 国家重点研发计划资助项目(2020YFB2009603);国家自然科学基金资金资助项目(52205281);中国博士后科学基金资助项目(2021M62551)。
- DOI：10.7652/xjtuxb202309011
  中图分类号： TH133.33
- 网络首发：2023-09-10，
  
  纸质出版：2023
- 稿件说明：
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张进华, 朱光浩, 黎铭, 等. 双列圆锥滚子轴承拟静力学建模和刚度计算分析[J]. 西安交通大学学报, 2023,57(9):98-108.

ZHANG Jinhua, ZHU Guanghao, LI Ming, et al. Quasi-Static Modeling and Stiffness Calculation Analysis of Double Row Tapered Roller Bearings[J]. 2023, 57(9): 98-108.
张进华, 朱光浩, 黎铭, 等. 双列圆锥滚子轴承拟静力学建模和刚度计算分析[J]. 西安交通大学学报, 2023,57(9):98-108. DOI： 10.7652/xjtuxb202309011.

ZHANG Jinhua, ZHU Guanghao, LI Ming, et al. Quasi-Static Modeling and Stiffness Calculation Analysis of Double Row Tapered Roller Bearings[J]. 2023, 57(9): 98-108. DOI： 10.7652/xjtuxb202309011.

摘要

针对双列圆锥滚子轴承建模及求解过程复杂的问题

以切片法为基础

建立了双列圆锥滚子轴承的拟静力学模型

结合同伦-牛顿法

实现了对上述模型的求解

并针对不同工况条件下双列圆锥滚子轴承的刚度特性展开分析。分析结果表明:所建模型一定程度上克服了传统非线性迭代算法对初值的高依赖性; 双列圆锥滚子轴承的刚度特性受轴承转速和预紧位移影响

在仅有预紧力的工况下

当转速从0增加到4 000 r/min时

轴承的径向、轴向刚度减小

当预紧位移从0.005 mm增加到0.015 mm 时

径向、轴向刚度增加; 当受轴向力且轴向力从10 kN增加到14 kN时

轴承径向、轴向刚度减小

当轴向力从14 kN增加到19 kN时

其径向、轴向刚度增加

转折点为第二列滚子与内滚道脱离点; 增加转速时

出现脱离点所需的轴向力减小; 增加预紧位移时

出现脱离点所需轴向力增加。

Abstract

The modeling and solving process of the double row tapered roller bearing is complex. To solve the problem

a quasi-static model of double row tapered roller bearings was established in the paper based on the slice method

and the solution of the model was realized by combining the homotopy algorithm and the Newton algorithm

which overcame the problem of the high dependence of the traditional nonlinear iterative algorithm on the initial value to a certain extent

and the stiffness characteristics of double row tapered roller bearings under different working conditions were analyzed. The calculation results show that the stiffness characteristics of double row tapered roller bearings are affected by bearing speed and preload displacement. Under the condition of only preload

the radial and axial stiffness of bearings decreases with the speed increasing from 0 r/min to 4 000 r/min

and increases with the preload displacement increasing from 0.005 mm to 0.015 mm. When the axial force increases from 10 kN to 14 kN

their radial and axial stiffness decreases

and when the axial force increases from 14 kN to 19 kN

their radial and axial stiffness increases

and the turning point is the separation point between the second row of rollers and the inner raceway. When the rotation speed increases

the axial force required to produce the separation point decreases

and when the preload displacement increases

the axial force required to produce the separation point increases.

关键词

Keywords

references

HAN Yaoyu, YANG Lihua, XU Tengfei. Analysis of static stiffness fluctuation in radially loaded ball and roller bearings [J]. Archive of Applied Mechanics, 2021, 91(4): 1757-1772.

ZHENG Jingyang, JI Jinchen, YIN Shan, et al. Internal loads and contact pressure distributions on the main shaft bearing in a modern gearless wind turbine [J]. Tribology International, 2020, 141: 105960.

ZHENG Jingyang, JI Jinchen, YIN Shan, et al. The load distribution of the main shaft bearing considering combined load and misalignment in a floating direct-drive wind turbine [C]//2018 3rd International Conference on Power and Renewable Energy. Les Ulis Cedex, France: EDP Sciences, 2018: 07009.

PALMGREN A. Ball and roller bearing engineering[M]. 3rd ed. Burbank, USA: Philadelphia SKF Industries Inc., 1959: 30-51.

JONES A B. A general theory for elastically constrained ball and radial roller bearings under arbitrary load and speed conditions [J]. Journal of Basic Engineering, 1960, 82(2): 309-320.

HARRIS T A, KOTZALAS M N. Rolling bearing analysis: advanced concepts of bearing technology [M]. 5th ed. Boca Raton, FL, USA: CRC Press, 2006: 8-12.

ANDRÉASON S. Load distribution in a taper roller bearing arrangement considering misalignment [J]. Tribology, 1973, 6(3): 84-92.

LIU J Y. Analysis of tapered roller bearings considering high speed and combined loading [J]. Journal of Lubrication Technology, 1976, 98(4): 564-572.

LAMBERT R J, POLLARD A, STONE B J. Some characteristics of rolling-element bearings under oscillating conditions: part 1 theory and rig design [J]. Proceedings of the Institution of Mechanical Engineers: Part K Journal of Multi-Body Dynamics, 2006, 220(3): 157-170.

LAMBERT R J, POLLARD A, STONE B J. Some characteristics of rolling-element bearings under oscillating conditions. Part 2: experimental results for interference-fitted taper-roller bearings [J]. Proceedings of the Institution of Mechanical Engineers: Part K Journal of Multi-Body Dynamics, 2006, 220(3): 171-179.

LAMBERT R J, POLLARD A, STONE B J. Some characteristics of rolling-element bearings under oscillating conditions. Part 3: experimental results for clearance-fitted taper-roller bearings and their relevance to the design of spindles with high dynamic stiffness [J]. Proceedings of the Institution of Mechanical Engineers: Part K Journal of Multi-Body Dynamics, 2006, 220(3): 181-190.

TONG V C, HONG S W. The effect of angular misalignment on the running torques of tapered roller bearings [J]. Tribology International, 2016, 95: 76-85.

TONG V C, HONG S W. Characteristics of tapered roller bearing with geometric error [J]. International Journal of Precision Engineering and Manufacturing, 2015, 16(13): 2709-2716.

TONG V C, HONG S W. Effects of roller profile on the stiffness of tapered roller bearings [J]. Journal of Automation and Control Engineering, 2015, 3(2): 151-156.

TONG V C, HONG S W. Study on the stiffness and fatigue life of tapered roller bearings with roller diameter error [J]. Proceedings of the Institution of Mechanical Engineers: Part J Journal of Engineering Tribology, 2017, 231(2): 176-188.

ZHANG Yunjia, RUAN Dengfang. Investigation on the lubrication performances and thermal characteristics of the tapered roller bearing [C]//ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. New York, USA: ASME, 2017: V010T11A032.

BERCEA I, CRETU S, NÉLIAS D. Analysis of double-row tapered roller bearings: part I model [J]. Tribology Transactions, 2003, 46(2): 228-229.

NÉLIAS D, BERCEA I, MITU N. Analysis of double-row tapered roller bearings, part II - results: prediction of fatigue life and heat dissipation [J]. Tribology Transactions, 2003, 46(2): 240-247.[19] AI Siyuan, WANG Wenzhong, WANG Yunlong, et al. Temperature rise of double-row tapered roller bearings analyzed with the thermal network method [J]. Tribology International, 2015, 87: 11-22.

YAN Ke, WANG Ning, ZHAI Qiang, et al. Theoretical and experimental investigation on the thermal characteristics of double-row tapered roller bearings of high speed locomotive [J]. International Journal of Heat and Mass Transfer, 2015, 84: 1119-1130.

YANG Lihua, XU Tengfei, XU Haoliang, et al. Mechanical behavior of double-row tapered roller bearing under combined external loads and angular misalignment [J]. International Journal of Mechanical Sciences, 2018, 142-143: 561-574.

ZHENG Jingyang, JI Jinchen, YIN Shan, et al. Fatigue life analysis of double-row tapered roller bearing in a modern wind turbine under oscillating external load and speed [J]. Proceedings of the Institution of Mechanical Engineers: Part C Journal of Mechanical Engineering Science, 2020, 234(15): 3116-3130.

XU Tengfei, YANG Lihua, WU Wei, et al. Effect of angular misalignment of inner ring on the contact characteristics and stiffness coefficients of duplex angular contact ball bearings [J]. Mechanism and Machine Theory, 2021, 157: 104178.

FANG Bin, ZHANG Jinhua, YAN Ke, et al. A comprehensive study on the speed-varying stiffness of ball bearing under different load conditions [J]. Mechanism and Machine Theory, 2019, 136: 1-13.

FANG Bin, YAN Ke, HONG Jun, et al. A comprehensive study on the off-diagonal coupling elements in the stiffness matrix of the angular contact ball bearing and their influence on the dynamic characteristics of the rotor system [J]. Mechanism and Machine Theory, 2021, 158: 104251.

ZHANG Henghai, SHI Wenku, LIU Guozheng, et al. A method to solve the stiffness of double-row tapered roller bearing [J]. Mathematical Problems in Engineering, 2019, 2019: 1857931.

胡浪, 王文中, 赵自强, 等. 双列圆锥滚子轴承滚子大端-引导边润滑接触分析 [J]. 摩擦学学报, 2013, 33(1): 22-28.

HU Lang, WANG Wenzhong, ZHAO Ziqiang, et al. Lubricated contact analysis of roller large end-flange in double-row tapered roller bearing [J]. Tribology, 2013, 33(1): 22-28.

周献文. 双列圆锥滚子轴承力学特性分析与测试试验研究 [D]. 大连: 大连理工大学, 2021.

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